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Simplifying -5(9 + -4b) + -2(3b + -2) + 5 = 0 (9 * -5 + -4b * -5) + -2(3b + -2) + 5 = 0 (-45 + 20b) + -2(3b + -2) + 5 = 0 Reorder the terms: -45 + 20b + -2(-2 + 3b) + 5 = 0 -45 + 20b + (-2 * -2 + 3b * -2) + 5 = 0 -45 + 20b + (4 + -6b) + 5 = 0 Reorder the terms: -45 + 4 + 5 + 20b + -6b = 0 Combine like terms: -45 + 4 = -41 -41 + 5 + 20b + -6b = 0 Combine like terms: -41 + 5 = -36 -36 + 20b + -6b = 0 Combine like terms: 20b + -6b = 14b -36 + 14b = 0 Solving -36 + 14b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 14b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 14b = 0 + 36 14b = 0 + 36 Combine like terms: 0 + 36 = 36 14b = 36 Divide each side by '14'. b = 2.571428571 Simplifying b = 2.571428571
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